Abstract
This paper examines an international Cournot duopoly wherein a home firm and a foreign firm compete in the home market under exchange rate uncertainty. The foreign exporting firm, being risk averse, has incentives to hedge its exchange rate risk exposure. In a two-stage setting, we show that hedging via an unbiased currency futures market acts as a strategic device. In particular, under either constant or decreasing absolute risk aversion, an increase in the hedging volume of the foreign firm promotes its exports and deters the home firm’s output. In contrast to the well-known full-hedging result in a perfectly competitive environment, we find that the foreign firm over-hedges for strategic reasons. Furthermore, the separation result from the hedging literature under perfect competition no longer holds in our duopoly framework, i.e., equilibrium output levels depend on the risk attitude of the foreign firm as well as the probability distribution of the spot exchange rate.
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Notes
Our model applies equally well to a broader case that the foreign firm competes in a world market where the home currency is the standard invoice currency. We thank an anonymous referee for pointing this out.
Throughout the paper, a tilde (~) signifies a random variable.
In a setting of two-way trade in both countries, the risk preferences of the home and foreign firms become crucial because both firms are now exposed to the exchange rate risk. Our results may not be robust to this symmetric scenario.
For any two random variables, \(\tilde{X}\) and \(\tilde{Y}\), we have \({\rm Cov}(\tilde{X},\tilde{Y})={\rm E}(\tilde{X}\tilde{Y}) -{\rm E}(\tilde{X}){\rm E}(\tilde{X})\).
This outcome is observationally equivalent to the benchmark equilibrium considered in Section 3.
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We would like to thank George Tavlas (the editor) and an anonymous referee for their helpful comments and suggestions. The usual disclaimer applies.
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Broll, U., Welzel, P. & Wong, K.P. Export and Strategic Currency Hedging. Open Econ Rev 20, 717–732 (2009). https://doi.org/10.1007/s11079-008-9080-x
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DOI: https://doi.org/10.1007/s11079-008-9080-x